Journey to the edge of reason The life of Kurt Gödel

Stephen Budiansky

Book - 2021

"The first major biography of the logician and mathematician whose incompleteness theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true--yet never provable--continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life. An intimate portrait of the scientific and intellectual circles in prewar Vienna and a vivid re-creation of the early days of Princeton's Institute for Advanced Study, Journey to the Edge of Reason is the first biography t...o fully draw upon Gödel's voluminous letters and writings--including a never-before-transcribed shorthand diary of his most intimate thoughts--to explore his profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It illuminates the mind-bending implications of Gödel's revolutionary ideas for philosophy, mathematics, artificial intelligence, and man's place in the cosmos"--

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Subjects
Genres
Biography
Biographies
Published
New York, NY : W.W. Norton & Company [2021]
Language
English
Main Author
Stephen Budiansky (author)
Edition
First edition
Physical Description
xi, 350 pages : illustrations, maps ; 25 cm
Bibliography
Includes bibliographical references (pages 313-325) and index.
ISBN
9781324005445
  • List of Maps and Illustrations
  • Prologue
  • 1. Dreams of an Empire
  • 2. Alle echten Wiener sind aus Brünn
  • 3. Vienna 1924
  • 4. Floating in Midair
  • 5. Undecidable Truths
  • 6. The Scholar's Paradise
  • 7. Fleeing the Reich
  • 8. New Worlds
  • 9. Plato's Shadow
  • 10. "If the World Is Constructed Rationally"
  • Appendix: Gödel's Proof
  • Acknowledgments
  • Notes
  • Bibliography
  • Illustration Credits
  • Index
Review by Booklist Review

Co-recipient of the Albert Einstein Award in 1951, Kurt Gödel was a close companion of the genius for whom the award was named. However, the brilliant mathematician who walked by Einstein's side through the streets of Princeton, NJ, has only now received the biographical attention he deserves. Budiansky exposes the social and political influences that shaped the life of this brilliant Austrian mathematician, illuminating particularly the dramatic events that caused him to flee a country losing its soul to Nazi barbarians to join Einstein in the exclusive Institute for Advanced Study at Princeton. But Budiansky's greater accomplishment is that of penetrating a mind that reoriented the entire mathematical world with the famous incompleteness theorems. Readers come to understand why, while others interpreted Gödel's theorems as a devastating blow to mathematical ambitions, Gödel himself interpreted them as a guarantee that the human spirit could forever explore Platonic truth. Readers also learn about Gödel's impressive but less-well-known breakthroughs in understanding infinity and advancing computer science. Finally, it is not Budiansky's mathematical acumen but rather his emotional empathy that carries readers into the brilliant theorist's fatal descent into the depression and paranoia that cause irrational self-starvation. A portrait remarkable both for its intellectual depth and for its compassion.

From Booklist, Copyright (c) American Library Association. Used with permission.
Review by Publisher's Weekly Review

Historian Budiansky (Oliver Wendell Holmes) recaps the revolutionary work of mathematician and logician Kurt Gödel (1906--1978) in this probing biography. Budiansky details how Gödel showed the limits of logic in math with his work, and sailed past those limits in his delusions, outlining Gödel's theories on the most abstract of questions along the way. Most notable is Gödel's incompleteness theorem, which proved in the early 1930s that every mathematical system contains statements that are true yet not provable; this refuted fashionable "positivist" philosophical arguments that all truths could be found by empirical observation. Budiansky situates Gödel's work in a vivid panorama of his intellectual circle in Vienna between the wars, and explores the metaphysical conclusions Gödel drew from it--a Platonist belief that ideas have an independent existence, and that there is a spiritual order to the universe. Budiansky's account of Gödel's later years at Princeton's Institute for Advanced Study shows the logician's passion for unprovable truths souring into paranoia, including a persistent conviction that his food was poisoned (his wife sometimes had to taste it to demonstrate otherwise), and he ultimately starved himself to death. Budiansky keeps things accessible--an appendix, for example, explains Gödel's proofs concisely­--and Gödel comes through as a brilliant though tragic figure in Budiansky's richly descriptive prose. This captivating portrait of a great if neurotic mind hits the mark . Photos. (May)

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Review by Kirkus Book Review

One of the great geniuses of the 20th century, barely known outside academia today, receives a much-needed expert biographical treatment. Regarding his subject, Kurt Gödel (1906-1978), Budiansky writes, "Einstein had called him 'the greatest logician since Aristotle,' and even in Princeton, that town with more Nobel Prize winners than traffic lights, his otherworldly genius had stood out." Born to a prosperous family in Austria-Hungary, Gödel was brilliant from the start. He entered the University of Vienna in 1924 to study physics but became attracted to mathematics and philosophy. During the 1920s, Vienna was a world center for both disciplines, and Gödel's talents were quickly recognized. Many readers are unaware that nothing in science is proven. The law of gravity states that things fall down only because things always fall down. No proof exists that they can't fall up. Only mathematics produces absolute proofs. Mathematicians find this deeply satisfying, but they are still recovering from the shock of Gödel's great discovery, in the early 1930s, that many systems in mathematics, while true, can't be proven. Although a historic milestone, it's an exceedingly difficult concept; readers with some background in college mathematics will be best-suited to comprehending the author's explanations. Fortunately, Budiansky writes so well that this is no problem. Although Gödel remains the focus of this terrific book, the author delivers insightful portraits of a score of brilliant men and women, almost all German or Austrian, descriptions of their work and academic struggles in early-20th-century Europe, and their lives after Hitler destroyed German science. Many moved to the U.S., where they encountered a land of Eden, especially Princeton, "a picturesque pre-Revolutionary village attached to the university campus." Barely escaping Vienna in 1940, Gödel settled at Princeton's Institute of Advanced Study, became a close friend of Einstein, and continued groundbreaking work despite increasing periods of obsession and paranoid delusion, which eventually led to his death via slow starvation. An outstanding biography of a man of incomprehensible brilliance. Copyright (c) Kirkus Reviews, used with permission.

Copyright (c) Kirkus Reviews, used with permission.